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Finding the Third Proportional to 4,868.44 and 7,759.13

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Solution

The third proportional to 4,868.44 and 7,759.13 is: 12,366.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.44 : 7,759.13 = 7,759.13 : x
  2. Step 2: Convert to fraction form
    4,868.44/7,759.13 = 7,759.13/x
  3. Step 3: Cross multiply
    4,868.44x = 7,759.13 × 7,759.13
  4. Step 4: Simplify right side
    4,868.44x = 60,204,020.77
  5. Step 5: Solve for x
    x = 60,204,020.77/4,868.44
  6. Step 6: Final answer
    x = 12,366.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.